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The fourth term of an AP is 15 and the sum of the first 5 terms is 55. Find the first term and the common difference?
Wiki User
∙ 14y ago
x is the first term and d is the difference then x + 3d = 15 and sum of first five terms is
x + (x+d) + (x+2d) + (x+3d) + (x+4d)
so 5x + 10d = 55 ie x + 2d = 11
As x + 3d = 15, d = 4 and x = 3,
giving the five terms as 3, 7, 11, 15 and 19
Wiki User
∙ 14y ago
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